Stronger $C$-odd color charge correlations in the proton at higher energy

Abstract

The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a $C$-odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of dipole size, impact parameter, their relative azimuthal angle, and light-cone momentum cutoff $x$. The proton is approximated as ${\psi }_{\mathrm{qqq}}|qqq⟩+{\psi }_{\mathrm{qqqg}}|qqqg⟩$, where ${\psi }_{\mathrm{qqq}}$ is a non-perturbative three quark model wave function while the gluon emission is computed in light-cone perturbation theory. We find that the Odderon amplitude increases as $x$ decreases from 0.1 to 0.01. At yet lower $x$, the reversal of this energy dependence would reflect the onset of universal small-$x$ renormalization group evolution.

6 pages, 5 figures. Odderon amplitudes at different momentum fraction x included in the ancillary files. v2: results updated fixing symmetry factors as discussed in the erratum

References in corpus (7)

• Exclusive J/psi and Upsilon hadroproduction and the QCD odderon
• Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Multi-quark matrix elements in the proton and three gluon exchange for exclusive ${\eta }_c$ production in photon-proton diffractive scattering
• Computing the gluon Sivers function at small-$x$
• Energy evolution of T-odd gluon TMDs at small $x$
• Cubic color charge correlator in a proton made of three quarks and a gluon

Cited by in corpus (4)

• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• High-energy dipole scattering amplitude from evolution of low-energy proton light-cone wave functions
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference